The environmental parameters \(\eta _{\mathrm {loss}}\) , \(p_{ec}\)  and \(QBER_I\)  appear within the expressions for \(n_{X(Z),k}\)  and \(m_{X(Z),k}\) , which feed into Eqs. (REF ) and (REF ). For more details on how the environmental factors are incorporated within the model, see appendix E or [1]}.
